Finding the Fourth Proportional to 196.76, 294.86 and 142.68

Step by Step Solution

1. Step 1: Write the proportion equation
   196.76 : 294.86 = 142.68 : x
2. Step 2: Convert to fraction form
   196.76/294.86 = 142.68/x
3. Step 3: Cross multiply
   196.76x = 294.86 × 142.68
4. Step 4: Simplify right side
   196.76x = 42,070.62
5. Step 5: Solve for x
   x = 42,070.62/196.76
6. Step 6: Final answer
   x = 213.82